Answer:
The point N lies inside the circle
Step-by-step explanation:
A circle is centered at the point T(-6,3) and has a radius of r=1.
To determine if the point N(3,-3) is inside or outside the circle, the distance between N and the point T must be lower than 11.
To calculate the distance between points T and N you use:
where x1 and y1 are the coordinates of T, and x2 and y2 the coordinates of N.
d < 11
The distance d is lower than the radius of the circle. Hence, the point N lies inside the circle
The thousandths place is the third digit after the decimal point.
5 is in the thousandths place since it is the third digit after the decimal.
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Answer:
The equation of tangent line is
Step-by-step explanation:
We need to find out the equation of tangent line.
Given :- g(6)=−3 and g'(6)= 5
If g(6)=−3
then the point on the line for the required tangent is (6,−3)
If g'(6)= 5
then the slope of the tangent at that point is 45
The tangent line can be specified by the slope-point form of the equation:
which in this case is
subtract both the sides by 3,
Therefore, the equation of tangent line is
Answer:
Theres no real solutions for this equation.
Hope it helps
Answer:
14.42inches
Step-by-step explanation:
Given the following
b = 5 in
c = 8in
we are to find the measure of the space diagonal line
Using the pythagoras theoreml
l^2 = b^2 + c^2
l^2 = 13^2 - 5^2
l^2 = 169 -25
l^2 = 144
l = 12in
To get the measure of the space diagonal line in the box, we will use the pythagoras theorem;
s^2 = l^2 + c^2
s^2 = 144 + 8^2
s^2 = 144 + 64
s^2 = 208
s= 14.42inches
Hence the required length ix 14.42inches